SOLUTION: in a quadrilateral ABCD, ray AC bisects angle DAB and ray CA bisects angle DCB. prove angle B congruent to angle D. please help me im having trouble drawing what the picture would

Algebra ->  Geometry-proofs -> SOLUTION: in a quadrilateral ABCD, ray AC bisects angle DAB and ray CA bisects angle DCB. prove angle B congruent to angle D. please help me im having trouble drawing what the picture would       Log On


   

Question 255084: in a quadrilateral ABCD, ray AC bisects angle DAB and ray CA bisects angle DCB. prove angle B congruent to angle D. please help me im having trouble drawing what the picture would look like
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a four sided figure (better if it looks like a rectangle or parallelogram.)
label the "corners" from
top left A
top right B
bottom right C
bottom left D
Draw line from A to C
Now it says that line bisects the two angles that it goes through which means that each part that got cut by the ray(line) is equal. Angle DAB is equal to CAB and ACB is equal to DAC

The proof is to show that the other two angles(B and D) are equal.(congruent)
There should be some theorems or postulates that talk about angles that are bisected to help you prove it.